Question

Write a quadratic regression equation for the following data, rounding all coefficients to the nearest tenth.

A) y = 2x² - 3x + 5.7
B) y = -0.3x² + 2x - 1.4
C) y = 4.5x² - 7x + 3.1
D) y = -1.8x² + 4x - 2.2

Answer 1

The quadratic regression equations for the given data are y = -0.3x² + 2x - 1.4 and y = -1.8x² + 4x - 2.2, rounded to the nearest tenth.

Step-by-step explanation:

The given question requires us to write a quadratic regression equation for the provided data, rounding all coefficients to the nearest tenth. Let's analyze each option:

A) y = 2x² - 3x + 5.7

B) y = -0.3x² + 2x - 1.4

C) y = 4.5x² - 7x + 3.1

D) y = -1.8x² + 4x - 2.2

After analyzing the given options, we can conclude that both B) y = -0.3x² + 2x - 1.4 and D) y = -1.8x² + 4x - 2.2 are quadratic regression equations.